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Simplifying 100 = 2(2 + 6k) 100 = (2 * 2 + 6k * 2) 100 = (4 + 12k) Solving 100 = 4 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 100 + -12k = 4 + 12k + -12k Combine like terms: 12k + -12k = 0 100 + -12k = 4 + 0 100 + -12k = 4 Add '-100' to each side of the equation. 100 + -100 + -12k = 4 + -100 Combine like terms: 100 + -100 = 0 0 + -12k = 4 + -100 -12k = 4 + -100 Combine like terms: 4 + -100 = -96 -12k = -96 Divide each side by '-12'. k = 8 Simplifying k = 8
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